Algebra I
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
https://www.youtube.com/watch?v=2YpE4_HIAn8&list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q sqrt 48x2y5
https://www.youtube.com/watch?v=lbzNKQnpVVs&list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q&index=38 sqrt 144x4y3
https://www.youtube.com/watch?v=loHF2p1eNQw&list=PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q&index=5 5*sqrt 200
9-3 Rewriting Radical Expressions – We practiced using the properties of exponents to rewrite radical expressions. Then we multiplied radical expressions. Next we learned to write a radical expression to model or represent a real-world problem. We practiced writing radical expressions in simplest form which is where there are no perfect square factors other than one in the radicand.
Assignment: Complete the assigned problems for homework.
Session Minutes
120
Minutes Student Attended
120
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
9-3 Rewriting Radical Expressions – We went over the homework that was assigned on simplifying radicals. Then we solved several radicals and were introduced to solving radical expressions.
Assignment: Complete the assigned problems for homework.
Session Minutes
120
Minutes Student Attended
120
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
9-2 Solving Quadratic Equations by Factoring – We practiced using the Zero-Product Property and factoring to find the solutions of a quadratic equation. Then we calculated the vertex. Next we used the zeros of a quadratic equation and the vertex to sketch the graph. Next we reviewed how to write the factored form of a quadratic function from the graph.
9-3 Rewriting Radical Expressions – We learned about radicals, radical expressions, and perfect square factors.
Assignment: Complete the assigned problems for homework and the take home quiz.
Session Minutes
120
Minutes Student Attended
120
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
Go over homework and graph several quadratic equations using factoring and vertex formula as well as tables.
9-2 Solving Quadratic Equations by Factoring – We reviewed the Zero-Product Property and factoring to find the solutions of a quadratic equation. Then we used the zeros of a quadratic equation to sketch a graph. Next we reviewed how to write the factored form of a quadratic function from the graph.
Assignment: Complete the take home test on 9-1 Solving Quadratic Equations Using Graphs and Tables for homework.
Session Minutes
120
Minutes Student Attended
90
Lesson Comments
Bella had to leave a little early. She is going to finish what we started tonight.
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
9-1 Solving Quadratic Equations Using Graphs and Tables – We reviewed how to use a graph to identify the x-intercepts as solutions of a quadratic equation. If the graph of the function has no x-intercepts then the equation has no real solutions. If the graph touches the x-axis but does not cross it then there is only one x-intercept and one real solution. Next we practiced finding the vertex of the parabola by putting the equation in the form ax2 + bx + c and calculating the x-coordinate by the formula –b/2a and
we found the y-coordinate by using the formula –b/2a. Next we plugged the x-coordinate of the vertex into the original quadratic equation to find the y-coordinate of the vertex. Bella did some practice problems to ensure that she is prepared to do her homework.
Assignment: Complete the assigned problems for homework.
Session Minutes
120
Minutes Student Attended
120
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
9-5 Completing the Square – We reviewed that Completing the square is a method that is used for converting a quadratic expression of the form ax2 + bx + c to the vertex form a(x - h)2 + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)2 + n, such that the left side is a perfect square trinomial. Completing the square method is useful in:
• Converting a quadratic expression into vertex form.
• Analyzing at which point the quadratic expression has minimum/maximum value.
• Graphing a quadratic function.
• Solving a quadratic equation.
• Deriving the quadratic formula.
Session Minutes
60
Minutes Student Attended
60
Session Date
Lesson Topic
Topic 8 Quadratic Functions
Lesson Outline
8-3 Quadratic Functions in Standard Form – We learned to compare properties of quadratic functions. We found the x coordinate by using the formula –b/2a. Next we plugged the x value into the equation to find the y value. Then we applied these principles to real-world problems.
Assignment: Complete the assigned problems for homework.
Session Minutes
60
Minutes Student Attended
60
Session Date
Lesson Topic
Topic 9 Solving Quadratic Equations
Lesson Outline
9-6 the Quadratic Formula and the Discriminant – We learned that the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. It is generally defined as a polynomial function of the coefficients of the original polynomial.
Assignment: Find the discriminants of the assigned problems and determine the number of solutions for each quadratic equation for homework.
Session Minutes
60
Minutes Student Attended
60
Session Date
Lesson Topic
Review quiz
Lesson Outline
Andrew completed a quiz, reviewing topics thus far.
Session Minutes
60
Minutes Student Attended
60
Session Date
Lesson Topic
Linear and Quadratic Equations
Lesson Outline
Andrew solved equations - linear and quadratic equations.
Assignment
Study for quiz on Thursday.
Session Minutes
60
Minutes Student Attended
60